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Re: only functions that exist are polynomials Re: review of Cavalieri's integral power rule //AP's Geometry power rules

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On 2019-03-02 23:08:43 +0000, Archimedes Plutonium said:

> On Saturday, March 2, 2019 at 1:41:03 AM UTC-6, Archimedes Plutonium wrote:
>> Alright i am going to offer this up as a Mathematical Induction proof 
>> that the Power Rules are no longer Rules of mathematics but universal 
>> facts as integral and derivative of all functions of mathematics, where 
>> all functions are polynomials, and if not a polynomial it is not a 
>> function of mathematics.
>> 
> 
> When a math professor has little to no logical mind, they make errors, 
> left and right. But also, their mental hygiene is out of balance, such 
> as allowing any any crazy type of function.
> 
>> 
>> Why is derivative of x^n that of n x^(n-1) ?> Proof: definition of 
>> derivative is dy/dx. Definition of Integral is dy*dx. As Cavalieri 
>> showed the dy for Y=x^2 is x^2 and the dx as Cavalieri showed was x so 
>> we have for integral of x^2 that of x^3 and the constant for Integral 
>> Y=x^2 is that of 1/n+1 because the area occupied by x^2 in the 1 by 1 
>> square is 1/3 of the area which by Mathematical Induction proves the 
>> Integral Power Rule. Back now to the Derivative Power Rule as the 
>> derivative is defined by dy/dx and the case of Y=x^2 the dy is x^2, the 
>> dx is x, and by the definition of derivative we have dy/dx = dy*dx^-1 
>> and since the dy is a x^n and by arithmetic we have x^(n+(-1)). We have 
>> x^(n-1) and lastly we need the constant of n in nx^n-1. We have the 
>> x^n-1 but not the prefix n. How do we get that purely geometrically? We 
>> get it purely geometrically by noting that the most simple polynomial 
>> is  Y=x and the n is 1, we also note that all straightline function of 
>> Y = mx + b that the derivative of mx is m since the exponent of mx is 
>> 1. Thus, the Derivative Power Rule. QED>
> You ever ask yourself, why is there kilograms and kilograms of all 
> types of functions-- exp, trig, hyperbolic, log, inverse trig, on and 
> on and on.
> 
> Is math truly like this-- a huge kooky bag of assortment of functions? 
> No, math is not like that, for the ugly bag of function types is 
> because of math professors with only a microgram brain of logic. When 
> you define Function to be only POLYNOMIALS, you get rid of the kook 
> math of functions.
> 
> All functions that exist must be a Polynomial. So you can take a log or 
> trig or exp function and convert it to a polynomial and only when it is 
> converted, is it a function to work with.
> 
> AP

AP:

What is the sine of 45 degrees?  (In polynomials.)

earle
*

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1meaning of dy+dx and dy-dx(or dx-dy depending on which is larger) //AP's Geometry Proof of Fundamental Theorem of Calculus, explaining the dy/dx =derivative=angle, dy*dx=integral=area Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2019-02-18 16:15 -0800
  replace derivative with angle and angulation Re: 1meaning of dy+dx and dy-dx(or dx-dy depending on which is larger) //AP's Geometry Proof of Fundamental Theorem of Calculus, explaining the dy/dx =derivative=angle, dy*dx=integral=area Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2019-02-18 21:33 -0800
    Re: replace derivative with angle and angulation Re: 1meaning of dy+dx and dy-dx(or dx-dy depending on which is larger) //AP's Geometry Proof of Fundamental Theorem of Calculus, explaining the dy/dx =derivative=angle, dy*dx=integral=area Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2019-02-19 06:25 -0800
      inspecting dx+dy and dx-dy for a straightline arc function  Re: 1meaning of dy+dx and dy-dx(or dx-dy depending on which is larger) //AP's Geometry Proof of Fundamental Theorem of Calculus, explaining the dy/dx =derivative=angle, dy*dx=integral=area Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2019-02-19 19:09 -0800
        inspecting dx+dy and dx-dy for a straightline arc function  Re: 1meaning of dy+dx and dy-dx(or dx-dy depending on which is larger) //AP's Geometry Proof of Fundamental Theorem of Calculus, explaining the dy/dx =derivative=angle, dy*dx=integral=area Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2019-02-20 10:10 -0800
          Y=x^2 and Y =x^3 Re: 1meaning of dy+dx and dy-dx(or dx-dy depending on which is larger) //AP's Geometry Proof of Fundamental Theorem of Calculus, explaining the dy/dx =derivative=angle, dy*dx=integral=area Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2019-02-20 18:20 -0800
            Y=x^2 and Y =x^3 Re: 1meaning of dy+dx and dy-dx(or dx-dy depending on which is larger) //AP's Geometry Proof of Fundamental Theorem of Calculus, explaining the dy/dx =derivative=angle, dy*dx=integral=area Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2019-02-20 21:38 -0800
              Y=x^2 and Y =x^3 Re: 1meaning of dy+dx and dy-dx(or dx-dy depending on which is larger) //AP's Geometry Proof of Fundamental Theorem of Calculus, explaining the dy/dx =derivative=angle, dy*dx=integral=area Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2019-02-21 10:01 -0800
            Y=x^2 and Y =x^3 Re: 1meaning of dy+dx and dy-dx(or dx-dy depending on which is larger) //AP's Geometry Proof of Fundamental Theorem of Calculus, explaining the dy/dx =derivative=angle, dy*dx=integral=area Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2019-02-25 22:31 -0800
              Y=x^2 and Y =x^3 Re: 1meaning of dy+dx and dy-dx(or dx-dy depending on which is larger) //AP's Geometry Proof of Fundamental Theorem of Calculus, explaining the dy/dx =derivative=angle, dy*dx=integral=area Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2019-02-26 22:02 -0800
                Re: Y=x^2 and Y =x^3 Re: 1meaning of dy+dx and dy-dx(or dx-dy depending on which is larger) //AP's Geometry Proof of Fundamental Theorem of Calculus, explaining the dy/dx =derivative=angle, dy*dx=integral=area Zelos Malum <zelos.malum@gmail.com> - 2019-02-26 22:37 -0800
            Re: Y=x^2 and Y =x^3 Re: 1meaning of dy+dx and dy-dx(or dx-dy depending on which is larger) //AP's Geometry Proof of Fundamental Theorem of Calculus, explaining the dy/dx =derivative=angle, dy*dx=integral=area Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2019-02-27 17:21 -0800
              Re: Y=x^2 and Y =x^3 Re: 1meaning of dy+dx and dy-dx(or dx-dy depending on which is larger) //AP's Geometry Proof of Fundamental Theorem of Calculus, explaining the dy/dx =derivative=angle, dy*dx=integral=area Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2019-02-27 17:45 -0800
            Geometry of dy-dx, and power rules //AP's Geometry Proof of Fundamental Theorem of Calculus, explaining the dy/dx =derivative=angle, dy*dx=integral=area Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2019-02-27 19:34 -0800
              Re: Geometry of dy-dx, and power rules //AP's Geometry Proof of Fundamental Theorem of Calculus, explaining the dy/dx =derivative=angle, dy*dx=integral=area eastside.erik@gmail.com - 2019-02-27 20:46 -0800
              Re: Geometry of dy-dx, and power rules //AP's Geometry power rules and dy-dx //Proof of Fundamental Theorem of Calculus, explaining the dy/dx =derivative=angle, dy*dx=integral=area Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2019-02-27 21:27 -0800
                need about a 27degree angle //AP's Geometry power rules and dy-dx //Proof of Fundamental Theorem of Calculus, explaining the dy/dx =derivative=angle, dy*dx=integral=area Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2019-02-27 22:19 -0800
                too much sigma error //AP's Geometry power rules and dy-dx //Proof of Fundamental Theorem of Calculus, explaining the dy/dx =derivative=angle, dy*dx=integral=area Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2019-02-27 22:40 -0800
                proving the Power Rules and no longer they are rules but actually a full part of Calculus //AP's Geometry power rules and dy-dx Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2019-02-28 14:52 -0800
                trying another point on Y=x^2 Re: proving the Power Rules and no longer they are rules but actually a full part of Calculus //AP's Geometry power rules and dy-dx Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2019-02-28 17:28 -0800
                one of the beauties of true math— chart of angles Re: proving the Power Rules and no longer they are rules but actually a full part of Calculus //AP's Geometry power rules and dy-dx Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2019-02-28 21:28 -0800
                still too big sigma error on dy-dx Re: proving the Power Rules and no longer they are rules but actually a full part of Calculus //AP's Geometry power rules and dy-dx Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2019-02-28 22:02 -0800
                math induction proof of Power rules Re: proving the Power Rules and no longer they are rules but actually a full part of Calculus //AP's Geometry power rules and dy-dx Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2019-03-01 08:45 -0800
                Re: math induction proof of Power rules Re: proving the Power Rules and no longer they are rules but actually a full part of Calculus //AP's Geometry power rules and dy-dx eastside.erik@gmail.com - 2019-03-01 09:46 -0800
                Re: math induction proof of Power rules Re: proving the Power Rules and no longer they are rules but actually a full part of Calculus //AP's Geometry power rules and dy-dx Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2019-03-01 15:07 -0800
                Re: Archimedes "just not bolted down too tight in the first place" Plutonium flunked the physics lifetime-generation test moroney@world.std.spaamtrap.com (Michael Moroney) - 2019-03-01 23:14 +0000
                Re: math induction proof of Power rules Re: proving the Power Rules and no longer they are rules but actually a full part of Calculus //AP's Geometry power rules and dy-dx eastside.erik@gmail.com - 2019-03-01 15:26 -0800
                review of Cavalieri's integral power rule //AP's Geometry power rules Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2019-03-01 22:02 -0800
                review of Cavalieri's integral power rule //AP's Geometry power rules Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2019-03-01 23:40 -0800
                only functions that exist are polynomials Re: review of Cavalieri's integral power rule //AP's Geometry power rules Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2019-03-02 15:08 -0800
                Re: only functions that exist are polynomials Re: review of Cavalieri's integral power rule //AP's Geometry power rules eastside.erik@gmail.com - 2019-03-02 15:40 -0800
                Re: only functions that exist are polynomials Re: review of Cavalieri's integral power rule //AP's Geometry power rules Earle Jones <earledjones@icloud.com> - 2019-03-02 17:14 -0800
                Need to emphasize the derivative of True Math is a Angle Re: AP's Geometry power rules Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2019-03-03 10:22 -0800
                Re: Archimedes "just not bolted down too tight in the first place" Plutonium flunked the physics lifetime-generation test moroney@world.std.spaamtrap.com (Michael Moroney) - 2019-03-05 17:27 +0000
                dy-dx cleared up Re: proving the Power Rules and no longer they are rules but actually a full part of Calculus //AP's Geometry power rules and dy-dx Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2019-03-01 19:56 -0800
  Re: Archimedes "just not bolted down too tight in the first place" Plutonium flunked the physics lifetime-generation test moroney@world.std.spaamtrap.com (Michael Moroney) - 2019-03-01 19:51 +0000
  Re: 1meaning of dy+dx and dy-dx(or dx-dy depending on which is larger) //AP's Geometry Proof of Fundamental Theorem of Calculus, explaining the dy/dx =derivative=angle, dy*dx=integral=area Jan <filmart@gmail.com> - 2019-03-02 16:11 -0800

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